9. The following is the distribution of weights (in kg) of 40 persons:
Weight (in kg) 40-45 45-50 50-55 55-60 60-65 65-70 70-75 75-80
Number of
44135 652
Construct a cumulative frequency distribution (of the less than type) table for the
data above.
persons
Answers
Given : distribution of weights (in kg) of 40 persons :
To find : Construct a cumulative frequency distribution (of the less
than type) and (more than type) table for the data . and draw graph , find median
Solution:
Weight (in kg). Frequency Less Than More than
40-45 4 4 40
45-50 4 8 36
50-55 13 21 32
55-60 5 26 19
60-65 6 32 14
65-70 5 37 8
70-75 2 39 3
75-80 1 40 1
Median = 50 + 5 * (20 - 8)/13
= 50 + 4.6
= 54.6
Median from Graph also approximate 54.6
Less than ogive
The points with the upper limits of the class are plotted on x axis and the corresponding less than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive
More than ogive
The points with the Lower limits of the class are plotted on x axis and the corresponding more than cumulative frequencies on y axis.
The points are joined by free hand smooth curve to give more than cumulative frequency curve or the More than Ogive
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